If S,° f(x) dæ = 12 and S,' f(x) dx = 3.6, find

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A: Differentiation problem

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Q: Find dy/dx by implicit differentiation. (cos pi x + sin pi y)4 = 37

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Q: With our choice that dv = sin(Ttx) dx, then v = sin(TTx) dx, which can be calculated using the…

A: The given equation is,

Q: find dy/dx in terms of x and y if (x-a)^4+y^4=a^4. Assume "a" is a constant dy/dx=?

A: Given: (x-a)^4+y^4=a^4

Q: Find dz/dx if z is implicitly given by the equation ze-y = sin(ryz).

A: Given, zex-y=sinxyz It is simplified as follows: Differentiate both sides with respect to x and…

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Q: if y= T-x x sinx dy , find V1-x² dx

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Q: dy dx 1+ey

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Q: If y? In(x) = 5, find dy/dx. dy dx

A: This question is based on differentiation with respect to x.

Q: Find dy/dx by differentiating implicitly. When applicable, express the result in terms of x and y.…

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Q: (In x)² dx, .3 te ato u a ? and dy

A: Integratipn by parts problem

Q: dy 5. If y = e+1 sin(1 – a2), then Find dx

A: We need to find the derivative of y=e3x+1sin1-x2 We will use the product rule to find the derivative…

Q: If 3x2 +2xy +y² = 2, then the value of dy at x=1 is dx

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Q: Given x = 6 ln(t) and y = 36 t² then find dy dx dx?

A: Let x = 6 ln(t) and y=36t2 Differentiate x with respect to t dxdt=ddt6 ln(t)=6ddtln(t)=6·1tdxdt=6t…

Q: 1. dx Evaluate 0, et +e-*

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Q: dy is equal to- dx If y = !, then the value of +3 V1 +y* V1+x

A: Introduction :

Q: If x = a cost + log tan- y = asint 2 Find dy/dx

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Q: - Si * dx dy

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Q: If f(x) = – x Find: S",(f(x))² dx That is find S"(: ,(1 - x)?

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Q: For which value of a the equation dz dy dx =1 -1

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Q: find dy/dx for the given value of x.

A: Finding dy/dx

Q: If cos (xy) = y-1, then the value of dy/dx when x=π/2 and y = 1 is?

A: If cos (xy) = y-1, then the value of dy/dx when x=π/2 and y = 1 is?

Q: 2. ye* dx + e*dy = 0

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Q: If y = arctan (4x² + 4x + 5), dy dx

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Q: If we solve the DE y dx + 2 x dy 0 alter converting it to Exad using an

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Q: Let y=e" +b(x+1)'. When x = 0, suppose that dx - 0 and -0. dx Find the possible values of a and b.

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Q: xcos( x), sin(x) 8. dx = LHIN

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Q: If x u(u – 1)2 and y = (3u - 1)², then what is the value of dy/dx

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Q: -6, find dy dx Given that y = ln

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Q: 6 e + ex e dx et - 1

A: You have posted multiple questions.As per our policies , solving first question. Please ask the…

Q: e'dx+ cosx dy 2. t.

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Q: The numerical value of xe dx is

A: Use Integration by parts

Q: dy find the dx +Ince 义 9 = sin In Cl+e)

A: The given problem is solved below in detail.

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Q: Find 3 for 2 = In (xº dx Provide your answer below: +y¹).

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Q: SK S, (In y)-1 dx dy = e – 2 0.718 In² y cIn y 31.

A: We have to solve given double integral. ∫1e∫ln2ylnylny-1dxdy

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Q: if y=u, u=v -1/2 and v=lnx, what is the value of dy/dx at x=e

A: Calculate the value of dy/dx and then put x=e .

Q: For which value of a the equation dz dy dx =2 -1 does hold?

A: The constant rule of integration and the power rule of integration are given by and, respectively,…

Q: are

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Q: | Find dy/dx if y = e*+x).

A: Given,          y=ex+x2

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Q: If y= cose* then dy dx 11

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Q: Given that 1 -dr+ 1 - dx = ln a, find the exact value of a. V16+9x? V9+4x?

A: given: ∫01116+9x2dx+∫0219+4x2dx=lna we have to find the exact value of a.

Q: Given æ = 15 In(t) and y = 225 t² then find dy dx dy dx?

A: Given that       x = 15 ln(t)      and   y = 225t2 Here we have to find        dy/dx       and…